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Finding the Fourth Proportional to 83,095.98, 114,696.99 and 57,953.58

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Solution

The fourth proportional to 83,095.98, 114,696.99 and 57,953.58 is: 79,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,095.98 : 114,696.99 = 57,953.58 : x
  2. Step 2: Convert to fraction form
    83,095.98/114,696.99 = 57,953.58/x
  3. Step 3: Cross multiply
    83,095.98x = 114,696.99 × 57,953.58
  4. Step 4: Simplify right side
    83,095.98x = 6,647,101,185.72
  5. Step 5: Solve for x
    x = 6,647,101,185.72/83,095.98
  6. Step 6: Final answer
    x = 79,993.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.